Under the old system, such a situation would result in a low turnout, and a politician elected by, perhaps, 10% of the possible vote.
Under the proposed system, such a politician could claim that he had been elected by, perhaps, 30% of the vote, by adding together all the 'alternative' second votes he had.
Politically we are in strange times - the old joke: "There's no point voting - the government will get in anyway" has become true. It is hard to see any practical difference between the parties, and they will struggle to create fundamentally different manifestos next time round. However, that's not important - all sides have now shown us that manifesto promises are broken so often they may as well not be made....